Microstructure of martensite: why it forms and how it gives rise to the shape-memory effect?
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford University Press
2007
|
| Edition: | 1. publ., reprinted |
| Series: | Oxford series on materials modelling
2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | One piece of shape-memory wire in pocket attached to inside back cover. - Includes bibliographical references and index |
| Physical Description: | XI, 288 S. Ill., graph. Darst. 1 Beil. |
| ISBN: | 9780198509349 |
Staff View
MARC
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| 100 | 1 | |a Bhattacharya, Kaushik |d 1967- |e Verfasser |0 (DE-588)130301140 |4 aut | |
| 245 | 1 | 0 | |a Microstructure of martensite |b why it forms and how it gives rise to the shape-memory effect? |c Kaushik Bhattacharya |
| 250 | |a 1. publ., reprinted | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford University Press |c 2007 | |
| 300 | |a XI, 288 S. |b Ill., graph. Darst. |e 1 Beil. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Oxford series on materials modelling |v 2 | |
| 500 | |a One piece of shape-memory wire in pocket attached to inside back cover. - Includes bibliographical references and index | ||
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Record in the Search Index
| _version_ | 1804143495001145344 |
|---|---|
| adam_text | CONTENTS
1
Introduction
1
1.1
Invitation
1
1.2
Introduction
4
1.3
Overview
8
1.4
Omissions
11
1.5
Related Reviews and Books
15
2
Review of Continuum Mechanics
17
2.1
Vectors and Matrices
17
2.2
Deformation
20
2.3
Deformation Gradient
22
2.4
Rotation and Stretch
26
2.5
Kinematic Compatibility
27
3
Continuum Theory of Crystalline Solids
29
3.1
Bravais
Lattice
29
3.2
Deformation of Lattices and Symmetry
32
3.3
Lattice-Continuum Link: The Cauchy-Born Hypothesis
34
3.4
Energy Density in Crystalline Solids
36
3.5
Symmetry of Deformable Lattices: Ericksen-Pitteri
Neighborhood
38
3.6
Multi-lattice
43
4
Martensitic Phase Transformation
46
4.1
Martensitic Phase Transformation; Bain or Transformation
Matrix
46
4.2
Energy Density
58
4.3
Material Symmetry: Variants of Martensite
60
4.4
Frame-indifference: Energy Wells
62
4.5
Summary of the Energy Density
64
4.6
Multiple Transformations
65
5
Twinning in Martensite
66
5.1
Deformation Involving One Variant
66
5.2
Deformation Involving Two Variants
67
x
CONTENTS
5.3
Interpretation as a Twin
68
5.4
Solution of the Twinning Equation and Classification of Twins
69
5.5
Cubic to Tetragonal Transformation
74
5.6
Cubic to Orthorhombic Transformation
75
5.7
Cubic to Monoclinic-I Transformation
78
5.8
Parallel Twins
80
5.9
Zig-zag Twins
81
5.10
Crossing Twins
83
6
Origin of
Microstructure
86
6.1
Simplified Example in One Dimension
87
6.2
Simplified Example in Two Dimensions
89
6.3
Example in Three Dimensions: Fine Twins
93
6.4
Weakly Converging Sequences and Fine
Microstructure
96
6.5
Relaxed Energy Density
98
6.6
Length-scale of the
Microstructure
102
7
Special
Microstructures
105
7.1
Austenite-Martensite Interface
106
7.1.1
Cubic to Tetragonal Transformation
114
7.1.2
Cubic to Orthorhombic Transformation
117
7.1.3
Cubic to Monoclinic-I Transformation
117
7.1.4
Remarks
118
7.2
Twins within Twins
121
7.3
Wedge-like
Microstructure
124
7.3.1
Cubic to Tetragonal Transformation
127
7.3.2
Cubic to Orthorhombic Transformation
128
8
Analysis of
Microstructure
131
8.1
Average Compatibility Conditions or the Minors Relations
131
8.2
Gradient Young Measure
141
9
The Shape-Memory Effect
143
9.1
Self-accommodation
144
9.1.1
Cubic Austenite
146
9.1.2
Tetragonal Austenite
148
9.1.3
Self-accommodating Plate Group
150
9.2
Recoverable Strains under Load Control
151
9.2.1
Uniaxial
Loading
151
9.2.2
Biaxial Loading
153
9.3
Recoverable Strains under Displacement Control
154
CONTENTS xi
10
Thin
Films 159
10.1
A Theory of Thin
Films 161
10.2
Deformations with One Variant or Phase
165
10.3
Deformations with Two Variants or Two Phases: Interface
Conditions
166
10.4
Martensite-Martensite Interface
169
10.5
Austenite-Martensite Interface
170
10.6
Tents and Tunnels
171
11
Geometrically Linear Theory
178
11.1
Linearized Kinematics
178
11.2
Geometrically Linear Theory for Martensitic Phase
Transformations
181
11.3
Some
Microstructures
and Comparisons
185
11.3.1
Twinning
185
11.3.2
Austenite-Martensite Interface
189
11.3.3
Wedge-like
Microstructure
192
11.3.4
Zig-zag Twins
192
11.4
Recoverable Strains under Displacement Control
194
11.5
Self-accommodation
200
11.6
Recoverable Strains under Load Control
201
11.7
Accuracy of the Geometrically Linear Theory
202
12
Piecewise Linear Elasticity
204
12.1
Piecewise Quadratic Energy
204
12.2
Stress Due to Incompatible Phase Arrangement
209
12.3
Relaxed Energy Density
213
12.4
A Modified Variational Principle
219
12.5
Connection to Homogenization Theory and Optimal Design
222
13
Polycrystals
224
13.1
Examples
227
13.1.1
Bi-crystal
227
13.1.2
Triple Junction
234
13.2
Polycrystals
238
13.3
Recoverable Strains under Displacement Control
240
13.4
Recoverable Strains under Load Control
243
13.5
The Consequence of Symmetry
247
13.6
The Consequences of Texture
249
13.7
Energy Minimization and Recoverable Strain
261
Appendix
267
Bibliography
272
Index
287
|
| any_adam_object | 1 |
| author | Bhattacharya, Kaushik 1967- |
| author_GND | (DE-588)130301140 |
| author_facet | Bhattacharya, Kaushik 1967- |
| author_role | aut |
| author_sort | Bhattacharya, Kaushik 1967- |
| author_variant | k b kb |
| building | Verbundindex |
| bvnumber | BV036802382 |
| classification_rvk | UQ 7200 |
| ctrlnum | (OCoLC)315569451 (DE-599)BSZ280984464 |
| dewey-full | 620.17 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.17 |
| dewey-search | 620.17 |
| dewey-sort | 3620.17 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| edition | 1. publ., reprinted |
| format | Book |
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| id | DE-604.BV036802382 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:48:34Z |
| institution | BVB |
| isbn | 9780198509349 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020718532 |
| oclc_num | 315569451 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XI, 288 S. Ill., graph. Darst. 1 Beil. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Oxford University Press |
| record_format | marc |
| series | Oxford series on materials modelling |
| series2 | Oxford series on materials modelling |
| spelling | Bhattacharya, Kaushik 1967- Verfasser (DE-588)130301140 aut Microstructure of martensite why it forms and how it gives rise to the shape-memory effect? Kaushik Bhattacharya 1. publ., reprinted Oxford [u.a.] Oxford University Press 2007 XI, 288 S. Ill., graph. Darst. 1 Beil. txt rdacontent n rdamedia nc rdacarrier Oxford series on materials modelling 2 One piece of shape-memory wire in pocket attached to inside back cover. - Includes bibliographical references and index Memory-Legierung (DE-588)4120726-9 gnd rswk-swf Martensit (DE-588)4131051-2 gnd rswk-swf Mikrostruktur (DE-588)4131028-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Martensit (DE-588)4131051-2 s Mikrostruktur (DE-588)4131028-7 s Mathematisches Modell (DE-588)4114528-8 s SWB Memory-Legierung (DE-588)4120726-9 s 1\p DE-604 Oxford series on materials modelling 2 (DE-604)BV019397343 2 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020718532&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bhattacharya, Kaushik 1967- Microstructure of martensite why it forms and how it gives rise to the shape-memory effect? Oxford series on materials modelling Memory-Legierung (DE-588)4120726-9 gnd Martensit (DE-588)4131051-2 gnd Mikrostruktur (DE-588)4131028-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4120726-9 (DE-588)4131051-2 (DE-588)4131028-7 (DE-588)4114528-8 |
| title | Microstructure of martensite why it forms and how it gives rise to the shape-memory effect? |
| title_auth | Microstructure of martensite why it forms and how it gives rise to the shape-memory effect? |
| title_exact_search | Microstructure of martensite why it forms and how it gives rise to the shape-memory effect? |
| title_full | Microstructure of martensite why it forms and how it gives rise to the shape-memory effect? Kaushik Bhattacharya |
| title_fullStr | Microstructure of martensite why it forms and how it gives rise to the shape-memory effect? Kaushik Bhattacharya |
| title_full_unstemmed | Microstructure of martensite why it forms and how it gives rise to the shape-memory effect? Kaushik Bhattacharya |
| title_short | Microstructure of martensite |
| title_sort | microstructure of martensite why it forms and how it gives rise to the shape memory effect |
| title_sub | why it forms and how it gives rise to the shape-memory effect? |
| topic | Memory-Legierung (DE-588)4120726-9 gnd Martensit (DE-588)4131051-2 gnd Mikrostruktur (DE-588)4131028-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Memory-Legierung Martensit Mikrostruktur Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020718532&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV019397343 |
| work_keys_str_mv | AT bhattacharyakaushik microstructureofmartensitewhyitformsandhowitgivesrisetotheshapememoryeffect |